Motion with gravity Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v′ (t) = –g, where g = 9.8 m/s2.
a. Find the velocity of the object for all relevant times.
b. Find the position of the object for all relevant times.
c. Find the time when the object reaches its highest point. What is the height?
d. Find the time when the object strikes the ground.
110. A payload is dropped at an elevation of 400 m from a hot-air balloon that is descending at a rate of 10 m/s.
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